New Formulae for Multiplication of Intervals

New Formulae for Multiplication of Intervals The paper treats the problem of interval multiplication for the case where the product interval has to be in affine form. New formulae for multiplication of independent intervals, given in endpoint form or in affine form, are suggested which provide a result without overestimation. The case of multiplication of dependent intervals in affine form is also considered. A new multiplication rule is proposed which leads to smaller overestimation in comparison with other previously known results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

New Formulae for Multiplication of Intervals

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Publisher
Springer Netherlands
Copyright
Copyright © 2006 by Springer Science + Business Media, Inc.
Subject
Mathematics; Numeric Computing; Mathematical Modeling and Industrial Mathematics; Approximations and Expansions; Computational Mathematics and Numerical Analysis
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-006-9002-9
Publisher site
See Article on Publisher Site

Abstract

The paper treats the problem of interval multiplication for the case where the product interval has to be in affine form. New formulae for multiplication of independent intervals, given in endpoint form or in affine form, are suggested which provide a result without overestimation. The case of multiplication of dependent intervals in affine form is also considered. A new multiplication rule is proposed which leads to smaller overestimation in comparison with other previously known results.

Journal

Reliable ComputingSpringer Journals

Published: Jul 29, 2006

References

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